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Quantization of Ether Theories of Gravity  Printable Version + Hidden Variables (https://iljaschmelzer.de/hiddenvariables) + Forum: The Ether vs. Relativity (https://iljaschmelzer.de/hiddenvariables/forumdisplay.php?fid=4) + Forum: Ether Theories of Gravity (https://iljaschmelzer.de/hiddenvariables/forumdisplay.php?fid=10) + Thread: Quantization of Ether Theories of Gravity (/showthread.php?tid=40) 
Quantization of Ether Theories of Gravity  Schmelzer  05162016 One of the key problems of modern theoretical physics is the quantization of gravity. Or, as I want to explain here, it is the quantization of general relativity which is problematic, and not the quantization of gravity. A particular example of an extremely simply quantum theory of gravity would be the quantization of Newtonian gravity. It is a triviality, one can simply follow the standard methods of quantization of a multiparticle theory with a Newtonian interaction. Unfortunately, Newtonian gravity fails, and has to be replaced by a relativistic theory of gravity. And GR quantization is, unfortunately, highly problematic. Fortunately, these GR quantization problems do not appear in the General Lorentz Ether Theory (GLET). To understand why, one has to take a look at the origin of the GR quantization problems. It appears that most of them are a consequence of background independence of GR. GLET reverts this and reintroduces a Newtonian background of absolute space and time into the theory, so that problems caused by background independence will not appear in GLET.
There are also other problems. A minor technical problem is related with the quantization of the conservation laws which have been introduced via the harmonic coordinates: The conservation laws are first order equations, and such equations may cause some problems in some quantization approaches. This is not the case in condensed matter theory, where it is better for quantization to switch from the Eulerian, local specification of the flow field to the Lagrangian, material one. In this specification, the state of the ether is described by the position \(x(x_0)\) of a point of the ether characterized by its position in some initial reference state \(x_0\). This description is also the appropriate one for an atomic description of the ether. In such a description, the atoms of this ether would be identified by their position \(x_0(n)\) in an undeformed, regular lattice, their actual position described by \(x(n)=x(x_0(n))\). The density in the large distance limit would be simply the number of nodes in some volume, and the continuity equation would become and automatic consequence, which holds exactly, independent of any quantum fluctuations. The much more famous problem is, instead, the nonrenormalizability of GR. Here, GLET changes nothing. It is nonrenormalizable too. Fortunately, the modern understanding of renormalization, following Wilson, shows that a nonrenormalizable theory can be, nonetheless, understood as an effective field theory  a theory which is a good approximation only for large distances, but becomes invalid below some critical distance. An example would be a lattice regularization of the theory with the lattice shift as the critical distance. But such a lattice discretization is essentially the same as what one would expect from a simple atomic model for the ether. And an atomic ether is what one would expect anyway from the future development of a continuous ether theory. So, while nonrenormalizability is a serious problem if one thinks that the theory remains valid for arbitrary small distances, it is not at all a problem for a theory which, from the start, presupposes that it has to be replaced, below some critical "atomic" distance, by a different "atomic" theory. To summarize: The two things introduced by ether theory, namely the classical fixed background, and the atomic hypothesis for the ether, lead to the disappearance of all the serious problems of GR quantization: Most of them disappear simply because they are caused by the nonexistence of a fixed background in GR. And and nonrenormalizability is also unproblematic for a theory which, because of the atomic hypothesis, is never supposed to be more than an effective large distance approximation. Essentially, the quantization of an ether theory is trivial, because we already know how to quantize condensed matter theories, so, once the gravitational field is presented in the form of a classical condensed matter theory, all we have to do is to follow the prescriptions of quantization of condensed matter theory. 